Well, that was a dumb thing to do :-P

I tested live support on its own web site first, then added it to my site linking to the livesupport site, then tried to integrated it directly into my site.

When I integrated it directly, I forgot to change the path links to the cutesoft client in the BLOCKED SCRIPT
<script src="http://cutesoft.net/<standalonesite>/CuteSoft_Client/CuteChat/Support-Image-Button.js.aspx">
I changed <standalonesite> to point to my web site where I put the CuteSoft_Client directory instead of the standalone directory where livesupport was installed for the first two steps and now I can see visitors :-)